What is the Greatest Common Factor of 64300 and 64313?

Greatest common factor (GCF) of 64300 and 64313 is 1.

GCF(64300,64313) = 1

We will now calculate the prime factors of 64300 and 64313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64300 and 64313.

How to find the GCF of 64300 and 64313?

We will first find the prime factorization of 64300 and 64313. After we will calculate the factors of 64300 and 64313 and find the biggest common factor number .

Step-1: Prime Factorization of 64300

Prime factors of 64300 are 2, 5, 643. Prime factorization of 64300 in exponential form is:

64300 = 2² × 5² × 643¹

Step-2: Prime Factorization of 64313

Prime factors of 64313 are 73, 881. Prime factorization of 64313 in exponential form is:

64313 = 73¹ × 881¹

Step-3: Factors of 64300

List of positive integer factors of 64300 that divides 64300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 643, 1286, 2572, 3215, 6430, 12860, 16075, 32150

Step-4: Factors of 64313

List of positive integer factors of 64313 that divides 64300 without a remainder.

1, 73, 881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64300 and 64313. The biggest common factor number is the GCF number.
So the greatest common factor 64300 and 64313 is 1.

Also check out the Least Common Multiple of 64300 and 64313